Brian McLogan
Finding the vertical and horizontal asymptote of a function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Find asymptotes and intercepts of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Graphing rational functions using 5 steps
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Finding the horizontal and vertical asymptotes of a function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Learn how to add two rational expressions by finding the LCD
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Learn how to solve a rational equation and check your solutions
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
How to graph a rational function using 6 steps
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Solving Rational Equations
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Solving Rational Equations | Three Mistakes
Being a teacher for many years I can tell you I know where students make their mistakes. In this video I will show you the top three mistakes I see students making when solving rational equations
Brian McLogan
Finding the asymptotes and intercepts of a rational function
👉 Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Brian McLogan
Solve a rational equation with no extraneous solutions
Solve a rational equation with no extraneous solutions
Brian McLogan
What are the restrictions on our solutions for a rational equation
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Determining the asymptotes of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Learn how to graph a rational function without any symmetry
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Learn how to graph a rational function with a oblique asymptote
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Learn how to solve a rational equation and identify the extraneous solutions
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Find inverse of a rational equation with two variables in numerator and denominator
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of...
Brian McLogan
Simplifying and then finding the intercepts and asymptotes
👉 Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Brian McLogan
What is the division property and how is it used
Learn about simplifying rational expressions. A rational expression is an expression in the form of a fraction. To simplify a rational expression is to put the expression in a simplified form i.e. cancel out common factors, etc. When...
Brian McLogan
Learn how to rewrite an exponent in the numerator when it has a negative power
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Brian McLogan
Learn how to find the lcm of two binomials
Learn how to add/subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational expressions...
Brian McLogan
Identify asymptotes and intercepts of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Solve an equation with rational terms
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Solving a rational Equation
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...